To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- Height \( h = 13 \) mm
- Radius \( r = 9 \) mm
Substituting the values into the formula:
\[ V = \pi (9^2)(13) \]
Calculating \( 9^2 \):
\[ 9^2 = 81 \]
Now, substituting:
\[ V = \pi (81)(13) \] \[ V = \pi (1053) \] \[ V \approx 3.14159 \times 1053 \] \[ V \approx 3305.6757 \]
Rounding to the nearest hundredth:
\[ V \approx 3305.68 , \text{cubic millimeters} \]
Thus, the volume of the cylinder is approximately 3305.68 cubic millimeters.